What is the wavelength of waves in shallower water?

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The speed of surface waves in water decreases in shallower areas, affecting their wavelength while frequency remains constant. Given an initial speed of 2.0 m/s and a wavelength of 1.5 m, the speed drops to 1.6 m/s in shallower water. Using the relationship between speed, frequency, and wavelength (v = fλ), the new wavelength can be calculated. The discussion emphasizes the importance of understanding wave dynamics in varying water depths. The calculation process is clarified through the application of relevant equations.
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Homework Statement



The speed of surface waves in water decreases as the water becomes shallower.Suppose waves travel across the surface of a lake with a speed of 2.0m/s and a wavelength of 1.5m. When these waves move into shallower part of the lake, their speed decreases to 1.6m/s, though their frequency remains the same. Find the wavelength of the waves in the shallower water.

Homework Equations





3. The attempt
(2.0m/s-1.6m/s)/1.5=.26667
 
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newfie look at the equation linking speed frequency and wavelength.
 
v=Af right?
 
got it thanks
 
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